288282400 has 72 divisors (see below), whose sum is σ = 804323520. Its totient is φ = 98837760.

The previous prime is 288282389. The next prime is 288282403. The reversal of 288282400 is 4282882.

It is not an unprimeable number, because it can be changed into a prime (288282403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20140 + ... + 31339.

It is an arithmetic number, because the mean of its divisors is an integer number (11171160).

Almost surely, 2^288282400 is an apocalyptic number.

288282400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288282400 is an abundant number, since it is smaller than the sum of its proper divisors (516041120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288282400 is a wasteful number, since it uses less digits than its factorization.

288282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51506 (or 51493 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 288282400 is about 16978.8809996419. The cubic root of 288282400 is about 660.6012274741.

The spelling of 288282400 in words is "two hundred eighty-eight million, two hundred eighty-two thousand, four hundred".